AnswersCommon Core Math II B 20222023 RLHSCumulative Exam

Cumulative Exam — Cumulative exam Answers

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1
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Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last skater. Then, they try to decide whether or not Oliver should be the first skater in the race.Which subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race?

A
A = {MOPN, PMON}
B
A = {OPMN, OMPN}
C
A = {MOPN, MPON, OPMN, POMN}
D
A = {MOPN, MPON, PMON, POMN}
2
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The diagram represents the polynomial 4x2 + 23x – 72.

Question illustration
A
(4x + 8)(x – 9)
B
(4x – 8)(x + 9)
C
(4x + 9)(x – 8)
D
(4x – 9)(x + 8)
3

Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?

A
ab(7a2 + 10ab + 14b2)
B
a2b(7 + 10b + 14b2)
C
7a2(b + 3b2 + 7b3)
D
7a2b3(b2 + 3b + 7)
4

What are the factors of 2x2 + 3x – 54? Select two options.2x – 92x – 62x + 6x – 6x + 6

A
2x – 9
B
2x – 6
C
2x + 6
D
x – 6
E
x + 6
5

The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically are shown in the table. Which represents the solution(s) of this system of equations?

Question illustration
A
(–3, –1)
B
(–3, 5)
C
(–3, 5) and (–1, 9)
D
(1, 13) and (3, 20)
6

Which expression is a difference of squares with a factor of 5x − 8?

A
25x2 − 16
B
25x2 + 16
C
25x2 − 64
D
25x2 + 64
7

A rectangle with an area of x2 – 4x – 12 square units is represented by the model.

Question illustration
A
(x + 2) and (x – 6)
B
(x + 6) and (x – 2)
C
(x + 2) and (x – 10)
D
(x + 10) and (x – 2)
8

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebraically.

A
(–5, –80)
B
(5, 0)
C
(5, 0) and (–5, –80)
D
no solutions
9

A road is made in such a way that the center of the road is higher off the ground than the sides of the road, in order to allow rainwater to drain. A cross-section of the road can be represented on a graph using the function f(x) = (x – 16)(x + 16), where x represents the distance from the center of the road, in feet. Rounded to the nearest tenth, what is the maximum height of the road, in feet?

Question illustration
A
0.1
B
0.8
C
1.3
D
1.6
10

What is the factored form of x2 – 6x – 16?

A
(x – 4)(x – 2)
B
(x + 4)(x – 2)
C
(x – 2)(x + 8)
D
(x – 8)(x + 2)
11

Solve x2 + 12x = –11 by completing the square. Which is the solution set of the equation?

A
{–11, –1}
B
{–11, 1}
C
{11, –1}
D
{11, 1}
12

A four-person committee is chosen from a group of eight boys and six girls.If students are chosen at random, what is the probability that the committee consists of all boys?

A
StartFraction 4 Over 1001 EndFraction
Option A
B
StartFraction 15 Over 1001 EndFraction
Option B
C
Option
Option C
D
Option
Option D
13

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

A
(negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot)
Option A
B
(negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot)
Option B
C
{–12, 2}
D
{–2, 12}
14

Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?

A
n2 + n – 210 = 0
B
n2 + n – 105 = 0
C
2n2 + 2n + 210 = 0
D
2n2 + 2n + 105 = 0
15

Including Jose, there are eight people in his family.If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?

A
35
B
840
C
1,680
D
2,620
16

Which function has real zeros at x = –8 and x = 5?

A
g(x) = x2 + 3x – 40
B
g(x) = x2 + 3x + 40
C
g(x) = x2 + 14x – 40
D
g(x) = x2 + 14x + 40
17

Which is a zero of the quadratic function f(x) = 4x2 + 24x + 11?

A
x = –9.25
B
x = –5.5
C
x = 0.5
D
x = 3.25
18

Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged photo is 256 square inches. In the equation (x + 10)2 = 256, x represents the side measure of the original square photo.

A
4 inches by 4 inches
B
6 inches by 6 inches
C
10 inches by 10 inches
D
12 inches by 12 inches
19

Which is the graph of f(x) = (x + 3)(x – 2)?

A
Option
B
Option
C
Option
D
Option
20

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Select three options.Ava’s graph is a vertical translation of f(x) = x2.Victor’s graph is a vertical translation of f(x) = x2.Ava’s graph moved 4 units from f(x) = x2 in a positive direction.Victor’s graph moved 4 units from f(x) = x2 in a positive direction.Ava’s graph has a y-intercept of 4.

A
Ava’s graph is a vertical translation of f(x) = x2.
B
Victor’s graph is a vertical translation of f(x) = x2.
C
Ava’s graph moved 4 units from f(x) = x2 in a positive direction.
D
Victor’s graph moved 4 units from f(x) = x2 in a positive direction.
E
Ava’s graph has a y-intercept of 4.

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